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Finding the Fourth Proportional to 2,438.89, 3,658.72 and 795.06

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Solution

The fourth proportional to 2,438.89, 3,658.72 and 795.06 is: 1,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.89 : 3,658.72 = 795.06 : x
  2. Step 2: Convert to fraction form
    2,438.89/3,658.72 = 795.06/x
  3. Step 3: Cross multiply
    2,438.89x = 3,658.72 × 795.06
  4. Step 4: Simplify right side
    2,438.89x = 2,908,891.14
  5. Step 5: Solve for x
    x = 2,908,891.14/2,438.89
  6. Step 6: Final answer
    x = 1,192.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.